Suppose the production function for a car manufacturer is:
Q = 2K²L²
Where Q is the number of cars produced, K is the number of machine hours used, and L is the number of worker hours used. The function for the marginal product of labor is ____.

Question

Quizplus · Accepted Answer

The marginal product of labor (MPL) is the partial derivative of the production function with respect to L, which in this case simplifies to 4K²L, indicating the increase in output (Q) resulting from a one-unit increase in labor (L) while holding capital (K) constant.

Suppose the Production Function for a Car Manufacturer Is